OK, I am also a college grad, (OSU 1984) Way back in 1990 a game ranger checked me and my buddies fishing license while we were noodling a creek in Southern OK. We had our license on us, but, we did not have written permission to be touching the bank. He asked us to leave. Obviously the land owner called him. Now I only noodle public property.
In a nut shell, The state owns all the flowing water in OKlahoma. i.e. {Creeks, Rivers, Drainage, Canals, etc.} The state also owns most of the stagnant water. i.e. {Lakes, Corps of Engineers reservoirs, national park waters, City lakes, ponds, tanks etc}
Now, if a person digs a pond or lake on their own property, of course, they also own the water, if they fill the lake themselves.
The land under the river can be owned by a plethora of institutions, i.e. private property, state, city, township, or federal government. The owners may own the land under the river however, don't own the water itself. It's perfectly legal for a person to stay in a canoe, boat or inner tube floating down the river. However, they can only step foot on shore if the land is owned by a public institution or they have written trespass permission from the land owner.
What I was trying to say was that my In-Laws own a gorgeous piece of land and have to put up with daily canoe trips and folks who think they can pitch a tent anywhere they wish. Rivers are like highways, it's not legal to stop and pitch a tent along the highway, neither can you can't do it on private property, unless you have permission.
Most folks don't realize this or even care. I have noodled since I was a kid, however, I stick to state owned property. Most noodlers noodle on private property without permission. Sorry thats the law.
A nice gentlemen went to the trouble to post the ODWC land access in a earlier post or on another page. If you ever own a nice stretch of land along a creek or river, expect company on a daily basis.
In conclusion, the state of OK owns the water itself.